82 grain sounds like the "Inside Lube" design bullet. If you can measure th ecase length, that will give a better idea.
From the Ammoguide cartridge notes:
"Marlin offered their 1892 rifle in .32 Short/Long Colt but the line proved more popular in Europe and was not widely chambered by other American gun makers. Commercially, the .32 Short and Long Colt line was eventually replaced by the .32 Smith & Wesson Short and Long rounds.
According to a 1905 Marlin catalog, the .32 Long Colt was loaded with 12 grains of blackpowder behind a 90 grain bullet. Originally loaded with an outside-lubricated .313" bullet, the diameter of the projectile was reduced when an inside-lubricated bullet was later employed. The new bullet was also lighter and shorter, reducing the cartridge overall length."
The .32 LC with an 82 grain Inside Lube Bullet should have a .916" case length and a 1.216" overall length and the bullet is about .302" diameter.
The .32 LC with an 90 grain Outside Lube Bullet should have a .312" diameter bullet with visible groove son the exposed 'nose' near the case mouth filled/coated with a Waxy lubricant. The overall cartridge should be about 1.280" wiht a cae length of less than that mentioned for the Inside Lube version.
Look though the previous post to this thread and I believe you will find photos of the different versions, including the RF versions that were the first one sin the family/series.
Another point, You should "Slug" your barrel and measure the actual Bore/Groove diameters of your barrel.